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135441220144041 = 32719443255418871
BaseRepresentation
bin11110110010111011011101…
…110100001000101110101001
3122202120001110111200001122100
4132302323131310020232221
5120223032104324102131
61200020500525244013
740346206460622660
oct3662733564105651
9582501414601570
10135441220144041
113a17933190a429
12132354ba703609
135a7608aa65356
142563566369dd7
15109d20c3647e6
hex7b2eddd08ba9

135441220144041 has 48 divisors (see below), whose sum is σ = 235884436669440. Its totient is φ = 73156051069920.

The previous prime is 135441220144033. The next prime is 135441220144057. The reversal of 135441220144041 is 140441022144531.

135441220144041 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 4 + 1 + 2 + 201 + 440 + 4 + 1 = 666.

It is not a de Polignac number, because 135441220144041 - 23 = 135441220144033 is a prime.

It is a super-2 number, since 2×1354412201440412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135441220143987 and 135441220144005.

It is not an unprimeable number, because it can be changed into a prime (135441220143041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127179165 + ... + 128239706.

It is an arithmetic number, because the mean of its divisors is an integer number (4914259097280).

Almost surely, 2135441220144041 is an apocalyptic number.

It is an amenable number.

135441220144041 is a deficient number, since it is larger than the sum of its proper divisors (100443216525399).

135441220144041 is a wasteful number, since it uses less digits than its factorization.

135441220144041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255419346 (or 255419343 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 135441220144041 its reverse (140441022144531), we get a palindrome (275882242288572).

The spelling of 135441220144041 in words is "one hundred thirty-five trillion, four hundred forty-one billion, two hundred twenty million, one hundred forty-four thousand, forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 443 1197 1329 3101 3987 8417 9303 25251 27909 58919 75753 176757 530271 255418871 766256613 1787932097 2298769839 4852958549 5363796291 14558875647 16091388873 33970709843 43676626941 101912129529 113150559853 305736388587 339451679559 792053918971 1018355038677 2149860637207 2376161756913 6449581911621 7128485270739 15049024460449 19348745734863 45147073381347 135441220144041